Respuesta :

Answer : The area of sector is, [tex]272.57mm^2[/tex]

Step-by-step explanation :

Formula used to calculate the area of sector in degree is:

Area of sector = [tex]\frac{\theta}{360}\pi r^2[/tex]

where,

[tex]\theta[/tex] = angle = [tex]50^o[/tex]

r = radius = 25 mm

Now put all the given values in the above formula, we get:

Area of sector = [tex]\frac{\theta}{360}\pi r^2[/tex]

Area of sector = [tex]\frac{50}{360}\times 3.14\times (25)^2[/tex]

Area of sector = [tex]272.57mm^2[/tex]

Therefore, the area of sector is, [tex]272.57mm^2[/tex]